Effective elastic moduli of triangular lattice material with defects
文献类型：期刊论文
| 作者 | Liu XY(刘晓宇) ; Liang NG(梁乃刚); Liu, XY
|
| 刊名 | JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
 |
| 出版日期 | 2012-10-01 |
| 卷号 | 60期号:10页码:1722-1739 |
| 通讯作者邮箱 | liuxy@imech.ac.cn |
| 关键词 | Lattice material Defect effect Micromechanics Green's function Elastic moduli Cellular Solids Granular-Materials Inplane Properties Honeycombs Strength Behavior Homogenization Inclusions Holes |
| ISSN号 | 0022-5096 |
| 产权排序 | [Liu, Xiaoyu;Liang, Naigang] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China |
| 通讯作者 | Liu, XY ; Chinese Acad Sci, Inst Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China. |
| 中文摘要 | This paper presents an attempt to extend homogenization analysis for the effective elastic moduli of triangular lattice materials with microstructural defects. The proposed homogenization method adopts a process based on homogeneous strain boundary conditions, the micro-scale constitutive law and the micro-to-macro static operator to establish the relationship between the macroscopic properties of a given lattice material to its micro-discrete behaviors and structures. Further, the idea behind Eshelby's equivalent eigenstrain principle is introduced to replace a defect distribution by an imagining displacement field (eigendisplacement) with the equivalent mechanical effect, and the triangular lattice Green's function technique is developed to solve the eigendisplacement field. The proposed method therefore allows handling of different types of microstructural defects as well as its arbitrary spatial distribution within a general and compact framework. Analytical closed-form estimations are derived, in the case of the dilute limit, for all the effective elastic moduli of stretch-dominated triangular lattices containing fractured cell walls and missing cells, respectively. Comparison with numerical results, the Hashin-Shtrikman upper bounds and uniform strain upper bounds are also presented to illustrate the predictive capability of the proposed method for lattice materials. Based on this work, we propose that not only the effective Young's and shear moduli but also the effective Poisson's ratio of triangular lattice materials depend on the number density of fractured cell walls and their spatial arrangements. |
| 学科主题 | 本构关系 |
| 分类号 | 一类 |
| 收录类别 | SCI ; EI |
| 资助信息 | The authors are grateful for the financial support of the State Key Program of Basic Research of China (2010CB731503). |
| 原文出处 | http://dx.doi.org/10.1016/j.jmps.2012.06.006 |
| 语种 | 英语 |
| WOS记录号 | WOS:000307694800003 |
| 公开日期 | 2013-01-18 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/46650]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 通讯作者 | Liu, XY |
| 推荐引用方式 GB/T 7714 | Liu XY,Liang NG,Liu, XY. Effective elastic moduli of triangular lattice material with defects[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2012,60(10):1722-1739. |
| APA | 刘晓宇,梁乃刚,&Liu, XY.(2012).Effective elastic moduli of triangular lattice material with defects.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,60(10),1722-1739. |
| MLA | 刘晓宇,et al."Effective elastic moduli of triangular lattice material with defects".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 60.10(2012):1722-1739. |
入库方式： OAI收割
来源：力学研究所
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